Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 509575886] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1184 geometric_solution 5.05519432 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666035054096 0.858619138228 0 4 2 3 0132 2031 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435960022978 0.727132177231 5 0 5 1 0132 0132 2310 1302 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.985200191992 0.913394288918 3 3 1 0 1302 2031 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530047529166 0.341170099042 1 6 0 6 1302 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.430893487308 1.761338242706 2 2 5 5 0132 3201 2031 1302 0 0 0 0 0 0 -1 1 1 0 -1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446163983046 0.338262964212 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394041890223 0.108096441458 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0101_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 172798474918696184825449969/3919744964429049995946*c_0110_6^19 + 2538864742754791442964366553/1959872482214524997973*c_0110_6^18 - 1301473022542923987030415012/1959872482214524997973*c_0110_6^17 - 60604389461425958677012969507/3919744964429049995946*c_0110_6^16 + 32750218884085599611703262135/1306581654809683331982*c_0110_6^15 + 10823418301966223570292680981/1959872482214524997973*c_0110_6^14 - 159596219476904902056077152889/3919744964429049995946*c_0110_6^13 + 13717236584257774294310309381/559963566347007142278*c_0110_6^12 + 172780678658511506271449831729/3919744964429049995946*c_0110_6^11 - 104569081963916405629512327863/3919744964429049995946*c_0110_6^10 - 150438604082791168970940024935/3919744964429049995946*c_0110_6^9 + 42107321918379052051084044437/3919744964429049995946*c_0110_6^8 + 32076164492916242019245738705/1306581654809683331982*c_0110_6^7 - 750039090924690606995861407/435527218269894443994*c_0110_6^6 - 6619330147890961678472821903/435527218269894443994*c_0110_6^5 - 474159755820166446140491421/72587869711649073999*c_0110_6^4 + 3363316776807100583547848548/1959872482214524997973*c_0110_6^3 + 960862095164835811982322475/435527218269894443994*c_0110_6^2 + 1319189669629145098189570019/1959872482214524997973*c_0110_6 + 140878785642444363604650509/1959872482214524997973, c_0011_0 - 1, c_0011_3 + 187031272873388363525/23514049145334977*c_0110_6^19 + 5518684772073468493629/23514049145334977*c_0110_6^18 - 2160914948622102402794/23514049145334977*c_0110_6^17 - 66262777748463359751706/23514049145334977*c_0110_6^16 + 98704163477695114369982/23514049145334977*c_0110_6^15 + 40122928570293283304230/23514049145334977*c_0110_6^14 - 178146471845031407119958/23514049145334977*c_0110_6^13 + 85622871048331876640868/23514049145334977*c_0110_6^12 + 208676286008949116897326/23514049145334977*c_0110_6^11 - 101169839687501408886424/23514049145334977*c_0110_6^10 - 182506518082173411683147/23514049145334977*c_0110_6^9 + 35515218188908574870147/23514049145334977*c_0110_6^8 + 114657534025149604738739/23514049145334977*c_0110_6^7 + 157497118243708890764/23514049145334977*c_0110_6^6 - 69053977109365687572998/23514049145334977*c_0110_6^5 - 33287078825720785028933/23514049145334977*c_0110_6^4 + 6666595384246378219519/23514049145334977*c_0110_6^3 + 10547535726951718974618/23514049145334977*c_0110_6^2 + 3406231930621886281263/23514049145334977*c_0110_6 + 379969450651742534588/23514049145334977, c_0011_4 - 460565629536268/55123412387*c_0110_6^19 - 13582780063749621/55123412387*c_0110_6^18 + 5524903593733463/55123412387*c_0110_6^17 + 162994833625996591/55123412387*c_0110_6^16 - 245458697348073104/55123412387*c_0110_6^15 - 93964863850415604/55123412387*c_0110_6^14 + 437876897917831342/55123412387*c_0110_6^13 - 217092289072168345/55123412387*c_0110_6^12 - 507730378162817711/55123412387*c_0110_6^11 + 254017687811588345/55123412387*c_0110_6^10 + 443379814924912495/55123412387*c_0110_6^9 - 91439032285525543/55123412387*c_0110_6^8 - 279169708704494239/55123412387*c_0110_6^7 + 2406279070495029/55123412387*c_0110_6^6 + 168751189950914215/55123412387*c_0110_6^5 + 79998420140337673/55123412387*c_0110_6^4 - 16742953530167301/55123412387*c_0110_6^3 - 25574581845572938/55123412387*c_0110_6^2 - 8179610691057703/55123412387*c_0110_6 - 905068471208796/55123412387, c_0101_0 + 27464930637820809243/23514049145334977*c_0110_6^19 + 809183696964553734739/23514049145334977*c_0110_6^18 - 352727648991071647790/23514049145334977*c_0110_6^17 - 9701605491132556008153/23514049145334977*c_0110_6^16 + 14913805273558719327117/23514049145334977*c_0110_6^15 + 5073930934606587614832/23514049145334977*c_0110_6^14 - 26082642103337533050357/23514049145334977*c_0110_6^13 + 13708818014306100015476/23514049145334977*c_0110_6^12 + 29606132161208244941517/23514049145334977*c_0110_6^11 - 15787046347062164444835/23514049145334977*c_0110_6^10 - 25740933657861048336875/23514049145334977*c_0110_6^9 + 5960413521435855347413/23514049145334977*c_0110_6^8 + 16285402642649356832145/23514049145334977*c_0110_6^7 - 492941652457947478043/23514049145334977*c_0110_6^6 - 9920660194900265758017/23514049145334977*c_0110_6^5 - 4529383411703943138938/23514049145334977*c_0110_6^4 + 1043010438701539473173/23514049145334977*c_0110_6^3 + 1477411804968726139800/23514049145334977*c_0110_6^2 + 461843108255128435838/23514049145334977*c_0110_6 + 50062849963373330211/23514049145334977, c_0101_2 + 134756172264540532427/23514049145334977*c_0110_6^19 + 3976684228232611143419/23514049145334977*c_0110_6^18 - 1543478530242249839679/23514049145334977*c_0110_6^17 - 47757540668140700615971/23514049145334977*c_0110_6^16 + 70961262661902142459669/23514049145334977*c_0110_6^15 + 29268387909241098580079/23514049145334977*c_0110_6^14 - 128509994700117450304926/23514049145334977*c_0110_6^13 + 61344463284840590042216/23514049145334977*c_0110_6^12 + 150827921263053177180376/23514049145334977*c_0110_6^11 - 72709670880717146466552/23514049145334977*c_0110_6^10 - 131900532370469715702156/23514049145334977*c_0110_6^9 + 25428060382546343583308/23514049145334977*c_0110_6^8 + 82828170833266866534318/23514049145334977*c_0110_6^7 + 241744171007131813949/23514049145334977*c_0110_6^6 - 49852609146698955483443/23514049145334977*c_0110_6^5 - 24084791888395459354232/23514049145334977*c_0110_6^4 + 4797082376261707029675/23514049145334977*c_0110_6^3 + 7622017133877657096573/23514049145334977*c_0110_6^2 + 2463697443507365563827/23514049145334977*c_0110_6 + 275020632862430289334/23514049145334977, c_0101_5 + 477017112345186/55123412387*c_0110_6^19 + 14067685080348813/55123412387*c_0110_6^18 - 5730033260970988/55123412387*c_0110_6^17 - 168804920190355861/55123412387*c_0110_6^16 + 254312930726436019/55123412387*c_0110_6^15 + 97074007816839027/55123412387*c_0110_6^14 - 453329692272599223/55123412387*c_0110_6^13 + 224986410297853430/55123412387*c_0110_6^12 + 525519251144240127/55123412387*c_0110_6^11 - 263063318655718696/55123412387*c_0110_6^10 - 458972214578016131/55123412387*c_0110_6^9 + 94696604404987474/55123412387*c_0110_6^8 + 289004685400706265/55123412387*c_0110_6^7 - 2510835540130674/55123412387*c_0110_6^6 - 174706006263211637/55123412387*c_0110_6^5 - 82825360673774130/55123412387*c_0110_6^4 + 17328104565771221/55123412387*c_0110_6^3 + 26478436487883437/55123412387*c_0110_6^2 + 8470758947605744/55123412387*c_0110_6 + 937582741881454/55123412387, c_0110_6^20 + 30*c_0110_6^19 + 3*c_0110_6^18 - 360*c_0110_6^17 + 353*c_0110_6^16 + 475*c_0110_6^15 - 847*c_0110_6^14 - 12*c_0110_6^13 + 1342*c_0110_6^12 + 9*c_0110_6^11 - 1243*c_0110_6^10 - 291*c_0110_6^9 + 707*c_0110_6^8 + 303*c_0110_6^7 - 369*c_0110_6^6 - 360*c_0110_6^5 - 52*c_0110_6^4 + 74*c_0110_6^3 + 46*c_0110_6^2 + 11*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB